Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 606/68,283/14,737/623
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 606,283,737
Greatest Common Factor of Numerators i.e. GCF of 606,283,737 is 1 .
LCM of Denominators means LCM of 68,14,623 as per the given fractions.
LCM of 68,14,623 is 42364 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 606,283,737
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Greatest Common Factor
We found the factors 606,283,737 . The biggest common factor number is the GCF number.
So the greatest common factor 606,283,737 is 1.
Lets's calculate LCM of 68,14,623
2 | 68, 14, 623 |
7 | 34, 7, 623 |
34, 1, 89 |
∴ So the LCM of the given numbers is 2 x 7 x 34 x 1 x 89 = 42364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42364
Therefore, the GCF of Fractions 606/68,283/14,737/623 is 1/42364
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 68,14,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,14,623) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(68,14,623) x common factors =1 x 14 = 14
LCM(68,14,623) = ( 68 × 14 × 623 ) / 14
LCM(68,14,623) = 593096 / 14
LCM(68,14,623) = 42364
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 606/68, 283/14, 737/623?
Answer: GCF of Numerators as per given numbers 606/68, 283/14, 737/623 is
GCF of Numerators i.e. for 606,283,737 is 1
LCM of denominators i.e. for 68,14,623 is 42364.
Thus, GCF of Fractions is 1/42364.Finally, GCF of Fractions for 606/68, 283/14, 737/623 is 1/42364.